SOLUTION: How many diagonals can be drawn from a vertex of an n-gon?

Algebra.Com
Question 699232: How many diagonals can be drawn from a vertex of an n-gon?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
How many diagonals can be drawn from a vertex of an n-gon?
-----
# of line segments joining 2 vertices = nC2 = [n(n-1)]/(2)
----
# of those line segments that are sides of the n-gon: n
---
Therefore, # of diagonals: nC2-n = [n(n-1)]/2 - n
===================================================
Cheers,
Stan H.
==============

RELATED QUESTIONS

If all of the diagonals are drawn from a vertex of an n-gon, how many triangles are... (answered by robertb)
If all of the diagonals are drawn from a vertex of an n-gon, how many triangles are... (answered by solver91311)
How many diagonals could be drawn from one vertex for a... (answered by stanbon,solver91311,lizard)
For each polygon, how many diagonals can be drawn from one vertex? How many different... (answered by solver91311)
How many diagonals can be drawn from one vertex of a 12 sided... (answered by glitzgirl_14)
HOW MANY DIAGONALS CAN BE DRAWN FROM ONE VERTEX OF A REGULAR... (answered by scott8148,bucky)
how many diagonals can be drawn from each vertex of a... (answered by solver91311)
How many interior angles does a undecagon have? How many diagonals can be drawn from... (answered by stanbon)